DEMICOMPACTNESS, SELECTION OF LINEAR RELATION AND APPLICATION TO MULTIVALUED MATRIX

Abstract

In this paper, we investigate the concept of
demicompactness and we establish some new results in Fredholm
theory connected with the existence of selections of a given linear
relation and we explore the possibility of finding a selection
demicompact for some linear relation demicompact. Moreover, we
give the relationship of the resolvent set between the linear relation
with its selection. Furthermore, we give an application to matrix
linear relation.